Intermediate dimensions - a survey

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Abstract

This article surveys the θ-intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when θ=0 to box-counting dimensions when θ=1. We bring together diverse properties of intermediate dimensions which we illustrate by examples.
Original languageEnglish
Title of host publicationThermodynamic Formalism
Subtitle of host publicationCIRM Jean-Morley Chair, Fall 2019
EditorsMark Pollicott, Sandro Vaienti
Place of PublicationCham
PublisherSpringer
Pages469-493
Number of pages20
ISBN (Electronic)9783030748630
ISBN (Print)9783030748623
DOIs
Publication statusPublished - 2021

Publication series

NameLecture Notes in Mathematics
Volume2290
ISSN (Print)0075-8434
ISSN (Electronic)0075-8434

Keywords

  • Hausdorff dimension
  • Box-counting dimension
  • Intermediate dimensions

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